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Year 2017, Volume 38 , Issue 3, Pages 480 - 487 2017-09-30

Gecikmeli ve Allee Etkili Lineer Olmayan Ayrık-Zamanlı bir Popülasyon Modelinin Lokal Kararlılık Analizi
The Local Stability Analysis of a Nonlinear Discrete-Time Population Model with Delay and Allee Effect

Figen KANGALGİL [1]

Abstract

Bu çalışmada, genel lineer olmayan ayrık zamanlı gecikmeli bir popülasyon modeli, düşük popülasyon yoğunluğunda ortaya çıkan Allee etkisiyle ve Allee etkisiz olarak ele alınmıştır.  Her iki modelin, denge noktasında lokal kararlılık şartları incelendik ve bu iki modelin lokal kararlılıklarını karşılaştırdık. Elde edilen tüm teorik sonuçlar nümerik simülasyonlar ile desteklenmiştir. 

In this work, we present a delay general nonlinear discrete-time population model with and without Allee effects which occur at low population density. We investigated local stability conditions of equilibrium point of both models and we compared the local stability of the same equilibrium point of these two models. Obtained all theoretical results were supported by numerical simulations.  

References

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Details

Subjects Basic Sciences
Journal Section Articles
Authors

Author: Figen KANGALGİL
Dates

Application Date : March 1, 2017
Acceptance Date : May 30, 2017
Publication Date : September 30, 2017

Cite

APA Kangalgi̇l, F . (2017). The Local Stability Analysis of a Nonlinear Discrete-Time Population Model with Delay and Allee Effect . Cumhuriyet Science Journal , 38 (3) , 480-487 . DOI: 10.17776/csj.340491
Authors of the Article
Figen KANGALGİL [1]
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